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Finding the Third Proportional to 156,931 and 339,933

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Solution

The third proportional to 156,931 and 339,933 is: 736,339.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,931 : 339,933 = 339,933 : x
  2. Step 2: Convert to fraction form
    156,931/339,933 = 339,933/x
  3. Step 3: Cross multiply
    156,931x = 339,933 × 339,933
  4. Step 4: Simplify right side
    156,931x = 115,554,444,489
  5. Step 5: Solve for x
    x = 115,554,444,489/156,931
  6. Step 6: Final answer
    x = 736,339.18

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.